Routine Trigonometry #2 - Mr Plant's Maths Pages Routine Trigonometry Practice #2 Find the unknown...
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Routine Trigonometry Practice #2 Find the unknown side, x, or angle, θ. 1. 2. 3. 4. 5. 6. 7. 8. 5.2 63° x x 32 57° 2.6 θ° 3.1 187 350 x 125 x 40° 1.54 2.6 θ° 11 31° x 0.29 0.23 x
Transcript of Routine Trigonometry #2 - Mr Plant's Maths Pages Routine Trigonometry Practice #2 Find the unknown...
Routine Trigonometry Practice #2 Find the unknown side, x, or angle, θ.
1.
2. 3.
4.
5.
6. 7.
8.
5.2 63°
x
x
32 57°
2.6 θ°
3.1
187 350 x
125
x
40°
1.54
2.6
θ°
11 31° x
0.29 0.23 x
Answers: Routine Trigonometry Practice #2 Find the unknown side, x, or angle, θ.
1. S
OH
H = O ÷ S = 5.2 ÷ sin 63°
= 5.84 2. S
OH
O = S × H = sin 57° × 32 = 26.84 3.
CAH
C = A ÷ H θ = cos–1 (2.6 ÷ 3.1) = 33.0° (32.9958)
4. C
AH
A = C × H = cos 31° × 11 = 9.43 5.
H2 = a2 + b2
= 0.292 + 0.232 =0.137 H = √0.137
= 0.370 6. S
OH
H = O ÷ S = 125 ÷ sin 40° = 194.5 7.
a2 = H2 – b2 = 3502 – 1872 = 87531
a = √87531 8. = 295.9 S
OH
S = O ÷ H θ = sin–1 (1.54 ÷ 2.6) = 36.3°
5.2 = O 63°
x = H
x = O
32 = H 57°
2.6 = A θ°
3.1 = H
187 =b 350 = H x = a
125 = O
x = H
40°
1.54 = O
2.6 =H
θ°
11= H 31° x = A
0.29 = a 0.23 = b x = H
